Extensions 1→N→G→Q→1 with N=C5 and Q=D4.3D4

Direct product G=N×Q with N=C5 and Q=D4.3D4
dρLabelID
C5×D4.3D4804C5xD4.3D4320,972

Semidirect products G=N:Q with N=C5 and Q=D4.3D4
extensionφ:Q→Aut NdρLabelID
C51(D4.3D4) = D20.2D4φ: D4.3D4/C4.D4C2 ⊆ Aut C5808-C5:1(D4.3D4)320,375
C52(D4.3D4) = D20.6D4φ: D4.3D4/C4.10D4C2 ⊆ Aut C5808+C5:2(D4.3D4)320,381
C53(D4.3D4) = C8.24D20φ: D4.3D4/C8.C4C2 ⊆ Aut C5804C5:3(D4.3D4)320,525
C54(D4.3D4) = D4.3D20φ: D4.3D4/C8○D4C2 ⊆ Aut C5804C5:4(D4.3D4)320,768
C55(D4.3D4) = C40.44D4φ: D4.3D4/C2×SD16C2 ⊆ Aut C5804C5:5(D4.3D4)320,804
C56(D4.3D4) = M4(2).13D10φ: D4.3D4/C8⋊C22C2 ⊆ Aut C5808-C5:6(D4.3D4)320,827
C57(D4.3D4) = M4(2).15D10φ: D4.3D4/C8.C22C2 ⊆ Aut C5808+C5:7(D4.3D4)320,830


׿
×
𝔽